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Introduction to SAT II Physics - FreeExamPapers

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negative charge.<br />

Remember, net charge is always conserved: the positive charge of the wool or glass rod will<br />

balance out the negative charge of the rubber rod or silk.<br />

The Electroscope<br />

The electroscope is a device commonly used—and sometimes included on <strong>SAT</strong> <strong>II</strong> <strong>Physics</strong>—<strong>to</strong><br />

demonstrate how electric charge works. It consists of a metal bulb connected <strong>to</strong> a rod, which in<br />

turn is connected <strong>to</strong> two thin leaves of metal contained within an evacuated glass chamber. When a<br />

negatively charged object is brought close <strong>to</strong> the metal bulb, the electrons in the bulb are repelled<br />

by the charge in the object and move down the rod <strong>to</strong> the two thin leaves. As a result, the bulb at<br />

the <strong>to</strong>p takes on a positive charge and the two leaves take on a negative charge. The two metal<br />

leaves then push apart, as they are both negatively charged, and repel one another.<br />

When a positively charged object approaches the metal bulb, the exact opposite happens, but with<br />

the same result. Electrons are drawn up <strong>to</strong>ward the bulb, so that the bulb takes on a negative<br />

charge and the metal leaves have a positive charge. Because both leaves still have the same<br />

charge, they will still push apart.<br />

Electric Force<br />

There is a certain force associated with electric charge, so when a net charge is produced,<br />

a net electric force is also produced. We find electric force at work in anything that runs<br />

on batteries or uses a plug, but that isn’t all. Almost all the forces we examine in this book<br />

come from electric charges. When two objects “<strong>to</strong>uch” one another—be it in a car crash or<br />

a handshake—the a<strong>to</strong>ms of the two objects never actually come in<strong>to</strong> contact. Rather, the<br />

a<strong>to</strong>ms in the two objects repel each other by means of an electric force.<br />

Coulomb’s Law<br />

Electric force is analogous <strong>to</strong> gravitational force: the attraction or repulsion between two<br />

particles is directly proportional <strong>to</strong> the charge of the two particles and inversely<br />

proportional <strong>to</strong> the square of the distance between them. This relation is expressed<br />

mathematically as Coulomb’s Law:<br />

In this equation, and are the charges of the two particles, r is the distance between<br />

them, and k is a constant of proportionality. In a vacuum, this constant is Coulumb’s<br />

constant, , which is approximately N · m 2 / C 2 . Coulomb’s constant is often<br />

expressed in terms of a more fundamental constant—the permittivity of free space,<br />

, which has a value of C 2 / N · m 2 :<br />

204

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